46 citations
8 papers
A randomized maximum a posterior method for posterior sampling of high dimensional nonlinear Bayesian inverse problems
Kainan Wang, Tan Bui-Thanh, Omar Ghattas
We present a randomized maximum a posteriori (rMAP) method for generating approximate samples of posteriors in high dimensional Bayesian inverse problems governed by large-scale fo…
Stable evaluation of Green's functions in cylindrically stratified regions with uniaxial anisotropic layers
H. Moon, B. Donderici, F. L. Teixeira
We present a robust algorithm for the computation of electromagnetic fields radiated by point sources (Hertzian dipoles) in cylindrically stratified media where each layer may exhi…
Computation of potentials from current electrodes in cylindrically stratified media: A stable, rescaled semi-analytical formulation
Haksu Moon, Fernando L. Teixeira, Burkay Donderici
We present an efficient and robust semi-analytical formulation to compute the electric potential due to arbitrary-located point electrodes in three-dimensional cylindrically strati…
Bayesian compressive sensing for ultrawideband inverse scattering in random media
A. E. Fouda, F. L. Teixeira
We develop an ultrawideband (UWB) inverse scattering technique for reconstructing continuous random media based on Bayesian compressive sensing. In addition to providing maximum a…
Complex-Plane Generalization of Scalar Levin Transforms: A Robust, Rapidly Convergent Method to Compute Potentials and Fields in Multi-Layered Media
Kamalesh Sainath, Fernando Teixeira, Burkay Donderici
We propose the complex-plane generalization of a powerful algebraic sequence acceleration algorithm, the Method of Weighted Averages (MWA), to guarantee exponential-cum-algebraic c…
Robust Computation of Dipole Electromagnetic Fields in Arbitrarily-Anisotropic, Planar-Stratified Environments
K. Sainath, F. L. Teixeira, B. Donderici
We develop a general-purpose formulation, based on two-dimensional spectral integrals, for computing electromagnetic fields produced by arbitrarily-oriented dipoles in planar-strat…